I'm looking for a textbook to help me with understanding the geometry of Galilean relativity and the Galilean group. The reason is that I tried going through V.I. Arnold's Mathematical Methods, but got stuck on the very first chapter because I'm just not familiar enough with affine geometry or group theory. So I want a good textbook on affine geometry, preferably using a coordinate-free approach, which goes over some physical applications including the Galilean group. Any suggestions?

  • $\begingroup$ I hope Shafarevich & Remizov's Linear Algebra and Geometry is a good choice. $\endgroup$ – Yai0Phah Dec 8 '15 at 19:42

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